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Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs

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  • Hu, Hao

    (Tilburg University, School of Economics and Management)

  • Sotirov, Renata

    (Tilburg University, School of Economics and Management)

  • Wolkowicz, Henry

Abstract

No abstract is available for this item.

Suggested Citation

  • Hu, Hao & Sotirov, Renata & Wolkowicz, Henry, 2023. "Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs," Other publications TiSEM 8dd3dbae-58fd-4238-b786-e, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:8dd3dbae-58fd-4238-b786-eccfacc3a300
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    References listed on IDEAS

    as
    1. Christine Bachoc & Dion C. Gijswijt & Alexander Schrijver & Frank Vallentin, 2012. "Invariant Semidefinite Programs," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 219-269, Springer.
    2. Klerk, Etienne de, 2010. "Exploiting special structure in semidefinite programming: A survey of theory and applications," European Journal of Operational Research, Elsevier, vol. 201(1), pages 1-10, February.
    3. de Klerk, E. & Sotirov, R., 2007. "Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem," Discussion Paper 2007-44, Tilburg University, Center for Economic Research.
    4. Ting Pong & Hao Sun & Ningchuan Wang & Henry Wolkowicz, 2016. "Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 333-364, March.
    5. Xinxin Li & Ting Kei Pong & Hao Sun & Henry Wolkowicz, 2021. "A strictly contractive Peaceman-Rachford splitting method for the doubly nonnegative relaxation of the minimum cut problem," Computational Optimization and Applications, Springer, vol. 78(3), pages 853-891, April.
    6. Renata Sotirov, 2018. "Graph bisection revisited," Annals of Operations Research, Springer, vol. 265(1), pages 143-154, June.
    7. Etienne Klerk & Fernando M. Oliveira Filho & Dmitrii V. Pasechnik, 2012. "Relaxations of Combinatorial Problems Via Association Schemes," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 171-199, Springer.
    8. Fanz Rendl & Renata Sotirov, 2018. "The min-cut and vertex separator problem," Computational Optimization and Applications, Springer, vol. 69(1), pages 159-187, January.
    9. Hao Hu & Renata Sotirov, 2020. "On Solving the Quadratic Shortest Path Problem," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 219-233, April.
    10. Truetsch, U., 2014. "A semidefinite programming based branch-and-bound framework for the quadratic assignment problem," Other publications TiSEM ff97cfea-a5da-41e0-8316-0, Tilburg University, School of Economics and Management.
    11. Qing Zhao & Stefan E. Karisch & Franz Rendl & Henry Wolkowicz, 1998. "Semidefinite Programming Relaxations for the Quadratic Assignment Problem," Journal of Combinatorial Optimization, Springer, vol. 2(1), pages 71-109, March.
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